A fairly drab first period was decided by a moment of magic when Ivan Rakitic scored long-range effort moments before the interval.
Both sides had chances in the latter stages, but neither could add to their tally as Sevilla picked up a vital three points.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
SEVILLA: Beto; Navarro, Spahic, Fazio, Cicinho; Reyes, Rakitic, Medel, Kondogbia, Navas; Negredo
RAYO: Ruben; Casado, Tito, Amat, Galvez; Fuego, Trashorras, Carlos, Chori; Delibasic, Lass